What is the 4812th prime number?
The 4812th prime number is 46567. The next prime is 46573 (a gap of 6) and the one before is 46559.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4812th one is 46567.
- 2
46567 is prime because no prime up to ā46567 ā 215.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4812th prime is close to 4812 Ć ln(4812) ā 40800, and here it is 46567.
- 4
46567 has no twin: neither 46565 nor 46569 is prime.
Primes around the 4812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4809 | 46523 | 12 |
| 4810 | 46549 | 26 |
| 4811 | 46559 | 10 |
| 4812 | 46567 | 8 |
| 4813 | 46573 | 6 |
| 4814 | 46589 | 16 |
| 4815 | 46591 | 2 |
Questions
What is the 4812th prime number?
46567.
Which prime number is 46567?
46567 is the 4812th prime number.
What is the sum of the first 4812 primes?
105,507,871.